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USPshnik [31]
3 years ago
5

jack helping the student council buy supplies for the school dance. A 32.oz bag of crunchy chips cost $2.99. Jumbo chips cost $3

.99 for 64.oz. Would it be a better buy if jack brought crunchy chips or jumbo chips? Justify your answer by using a rate table.
Mathematics
1 answer:
Ronch [10]3 years ago
6 0
It would be better to buy the 64oz because you get more chips for the price. For the first bag it is $0.09 per oz and for the second bag it is $0.06 per oz.
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"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean
Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0
3 years ago
A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the airport is 21 degrees. What is th
lesantik [10]

Answer:

tan 21 = 17 000 / d

d = 17000/ tan21 = 44286.5 ft

5 0
3 years ago
Two parallel lines are crossed by a transversal. Horizontal and parallel lines y and z are cut by transversal x. At the intersec
ruslelena [56]

Those two angles have the same measure, so you have

2k+11=131 \iff 2k=120 \iff k=60

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3 years ago
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slavikrds [6]
Mathpapa.com is the website to use
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Solve for x: 2(7x – 6) = 30
sertanlavr [38]

Answer: x = 3

Step-by-step explanation:

2(7x - 6) = 30

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